A company's profit is linearly related to the number of items the company sells. Profit, P, is a function of the number of items sold, x. If the company sells 4000 items, its profit is $24,100. If the company sells 5000 items, its profit is $30,700. Find an equation for P(x)

Answer:

Step-by-step explanation:

C-10,20,-40,80,...\( u_{n+1}=(-2)*u_{n}\). is geometric1

The equation of the line that passes through the point (2, 1) and has a slope of -5/2 is y=(-5/2)*x+6.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=3x+4. Where:

m= the slope.

b= the constant term that represents the y-intercept.

For the given example: m=3 and b=4.

The question gives:

Point : (2,1) , where x=2 and y=1

Slope= -5/2

From the  standard form of the linear equation ( y= mx+b) and the given point and the slope, you can write:

y=mx+b

1=-5/2*(2)+b , thus you can find b.

1=-5+b

-b=-5-1

-b=-6

b=6

If b=6 and m=-5/2, you can write the linear equation:

y=mx+b

y=(-5/2)*x+6

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The equation of line that models this is y = -5/2x + 6

The equation of a line is typically written in slope-intercept form, which is y = mx + b, where m is the slope of the line, and b is the y-intercept.

The slope (m) is a measure of how steep the line is, and it can be calculated using the formula:

y = mx + c

In the given question, the slope is -5/2 and the points are (2, 1)

Substituting the values into the formula of equation of line;

y = mx + c

1 = -5/2(2) + c

1 = -5 + c

c = 1 + 5

c = 6

The equation is y = -5/2 + 6

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Answer:

y = -3x + 5

Step-by-step explanation:

y = -3x + b

-1 = -3(2) + b

-1 = -6 + b

5 = b

Answer:

Each grade level would receive 45 minutes of gym time

Step-by-step explanation:

Just divide 3 by 4 resulting in 0.75. Then multiply that by the number of minutes (60) and your result is 45 minutes per class.

Hit Brainliest if this was helpful :)

Answer:30

Step-by-step explanation:

Steps below. I formed an equation out of the word problem.

We can use the radical rules to simplify the product 3(4x2). To start, we simplify 4 to its square root, which equals 2. Next, we employ the power property of radicals, which asserts that (a,m) = (a(m/2)), to simplify the cube root (x2) by using it. In this instance, (x2) = x.

We now get 3 * 2 * x, which simplifies to 6x when the simpler terms are combined.The result is that the product 3(4x2) has the simplest form (6x).We can dissect the constituent parts and use the radical-simulation principles to simplify the product 3(4x2).In the beginning, we may reduce the square root of 4 to 2: 3(2x2).Then, since it contains a square (2) and a cube root (), we can reduce them as follows:

3 * 2 * x^(²/³)Taking the square root before the cube root is shown by the exponent 2/3. We may calculate the exponent by reducing it to: 3 * 2 * x(2/3)The terms are then combined when we multiply the coefficients: 6 * x(2/3)As a result, 6x(2/3) is the product of 3(4x2) in its simplest form.

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Answer:

orange = Third (10000)

green = Fourth (0.01)

blue= First(0.0001)

purple = Second(0.000001)

Step-by-step explanation:

There are black, blue, and white marbles in a bag. The probability of choosing a black marble is 0.75.

Let's assume that there are 100 marbles in the bag. If the probability of choosing a black marble is 0.36, there are 36 black marbles in the bag. Therefore, there are 64 marbles of other colors (white and blue) in the bag.

Using the same method, we can say that the probability of choosing a white marble after drawing a black one is \(\frac{0.27}{0.36}= 0.75\)  (rounded to the nearest hundredth). It means that there are 75 white marbles for every 100 black marbles in the bag.

Therefore, the probability of the second marble being white if the first marble chosen is black is

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The exponential smoothing forecast for period 5, assuming alpha is 0.5, is 416 (rounded to two decimal places).

Exponential smoothing is a forecasting method that uses a weighted average of past observations, with more recent observations receiving higher weights. The forecast for a specific period is calculated by adding the weighted average of the previous period's forecast and the actual observation.

Given the data and alpha value provided, we can calculate the exponential smoothing forecast for period 5 using the following steps:

1. Initialize the forecast for period 1 as the actual observation for period 1: F1 = 418.

2. Calculate the forecast for period 2 using the exponential smoothing formula:

  Ft = α * At-1 + (1 - α) * Ft-1

  Where:

  Ft = Forecast for period t

  At-1 = Actual observation for period t-1

  Ft-1 = Forecast for period t-1

  α = Smoothing parameter (alpha)

  Using the values provided, we can calculate F2:

  F2 = 0.5 * 418 + (1 - 0.5) * 418 = 418

3. Repeat the calculation for periods 3, 4, and 5:

  F3 = 0.5 * 412 + (1 - 0.5) * 418 = 415

  F4 = 0.5 * 413 + (1 - 0.5) * 415 = 414

  F5 = 0.5 * 418 + (1 - 0.5) * 414 = 416

Therefore, the exponential smoothing forecast for period 5, assuming alpha is 0.5, is 416 (rounded to two decimal places).

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Greetings from Brasil...

We need to use the Cosine Law in Any Triangle, so we can use Heron's formula.

AC² = AB² + BC² - 2.AB.BC.COS B

AC² = 11² + 9² - 2.11.9.COS 63

AC ≈ 10,63

Heron's Formula:

Area = √[P.(P - AB).(P - BC).(P - AC)]

where P = (AB + BC + AC)/2

P = (11 + 9 + 10,63)/2 ⇒ P ≈ 15,31

Area = √[15,31.(15,31 - 11).(15,31 - 9).(15,31 - 10,63)]

Based on the information and the specified parameters, the probability of rain in 3 days from now is 0.6 or 60%.

To compute the probability of rain in 3 days from now, we can use the beta distribution with parameters α = 0.7 and β = 0.3.

The beta distribution is commonly used to model probabilities between 0 and 1.

Here, there is a 50-50 chance of rain today, we can interpret this as a prior belief or prior probability. We can assume a beta distribution with parameters α = 0.5 and β = 0.5 to represent this prior belief.

To update the prior belief based on new information, we can use Bayesian inference and compute the posterior distribution. The posterior distribution represents our updated belief about the probability of rain in 3 days from now.

In this case, we can update the prior distribution (α = 0.5, β = 0.5) with the information from α = 0.7 and β = 0.3 to obtain the posterior distribution.

Let's perform the calculations:

Prior distribution (50-50 chance of rain today):

α₁ = 0.5

β₁ = 0.5

New information (α = 0.7, β = 0.3):α₂ = α₁ + α = 0.5 + 0.7 = 1.2

β₂ = β₁ + β = 0.5 + 0.3 = 0.8

Now, we have the posterior distribution:

α = 1.2

β = 0.8

To compute the probability of rain in 3 days from now, we can use the mean or mode of the posterior distribution. In this case, let's use the mean:

Probability of rain in 3 days from now:

P(rain) = α / (α + β) = 1.2 / (1.2 + 0.8)

= 0.6

Therefore, based on the information and the specified parameters, the probability of rain in 3 days from now is 0.6 or 60%.

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Answer:

Terms=7a,3 Variables=a Coi=7 Constants=3

Step-by-step explanation:

Terms are the things you use in the equation.

Terms=7a, 3

Variables are the letters next to numbers

Variables= a

Coificents are numbers next to the variable.

Coi=7

Constants are numbers by themselves

Constants=3

The owners of the Shake Shack are likely to win the lawsuit against the owners of Betty's Burger Joint. The protection of trade secrets extends to situations where unauthorized acquisition or use occurs, even if the information was independently formulated.

The owners of the Shake Shack will likely win the lawsuit against the owners of Betty's Burger Joint. Here's why:

Trade secrets are a form of intellectual property protection that applies to confidential and proprietary information that provides a business with a competitive advantage. To successfully sue for infringement on a trade secret, the following elements generally need to be proven:

1. The information qualifies as a trade secret: The Shake Shack's recipe for cooking burgers is explicitly mentioned as a trade secret, implying that it meets the criteria for trade secret protection.

2. The information was kept secret: The Shake Shack has taken measures to keep the recipe confidential, which strengthens its claim to trade secret protection.

3. The information has economic value: The Shake Shack's recipe is considered a significant part of its business and contributes to its success, indicating that it holds economic value.

4. The recipe was misappropriated: Misappropriation occurs when someone acquires, uses, or discloses a trade secret without authorization. In this scenario, Betty's Burger Joint starting to use the same recipe would likely be seen as misappropriation.

5. Independent formulation is not a defense: The fact that Betty's Burger Joint formulated the recipe independently would not necessarily absolve them of liability. Trade secret protection extends to situations where the information was independently discovered or developed but is still acquired or used without authorization.

Based on these points, it is likely that the owners of the Shake Shack will win the lawsuit. The Shake Shack's trade secret recipe, which has been kept confidential for ten years, holds economic value and is misappropriated by Betty's Burger Joint. The independent formulation by Betty's Burger Joint does not provide a valid defense.

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Answer:

She catered for 40 people.

Step-by-step explanation:

According to the information given, you can write an equation that indicates that 30 people multiply for its cost that is $10 plus the number of people after 30 for its cost that is $9 is equal to $390. According to this, the equation is:

10(30)+9x= 390, where

x= number of people after 30

Then, you can solve for x:

300+9x= 390

9x=390-300

9x= 90

x=90/9

x=10

The answer is that she catered for 40 people, 30 people at a cost of $10 and 10 people for a cost of $9.

Answer:

If Skylar went 5 GB over the limit she will have to pay $200 for that month;

If she went "x" GB over the limit, she will have to pay 50 + 30*x.

Step-by-step explanation:

Skylar's plan has a fixed fee of $50 for any value of data usage that is below 7 GB, but charges an extra of $30 per GB over that. For cases where she went over the limit by "x" GB, the cost of her plan is given by:

\(cost(x) = 50 + 30*x\)

If she went 5 GB over the limit, she'll have to pay:

\(cost(5) = 50 + 30*5\\cost(5) = 50 + 150\\cost(5) = 200\)

She will have to pay $200.

Answer: 18 years

Step-by-step explanation:

The Rule of 72 is a way to calculate how long it will roughly take for an investment to double in size.

It works by dividing 72 by the interest rate as a whole number:

= 72/ interest rate

= 72 / 4

= 18 years

Plotting the data on a graph can help you identify the outliers or points that don't fit the pattern.

The dataset, you can use it to identify the points that don't fit the pattern.

The points that don't fit the pattern in a dataset.

The points that don't fit the pattern in a dataset, you can use several methods such as:

Visualization:

Plotting the data on a graph can help you identify the outliers or points that don't fit the pattern.

You can use various graph types such as scatter plots, line graphs, box plots, etc., to visualize the data.

Statistical methods:

You can use statistical methods such as standard deviation, z-score, or regression analysis to identify the outliers or points that don't fit the pattern.

Domain knowledge:

If you have domain knowledge about the dataset, you can use it to identify the points that don't fit the pattern.

If you know that a particular event occurred during a specific period, you can use it to explain the anomaly in the data.

The points that don't fit the pattern, you can investigate why they don't fit the pattern.

It could be due to measurement errors, data entry errors, or a genuine anomaly in the data.

Understanding why certain data points don't fit the pattern can provide insights into the data and improve the accuracy of the analysis.

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Answer:

two

Step-by-step explanation:

solutions are where lines cross

the solutions for this system are (2,0) and (-6,8)

Answer:

2 solutions

Step-by-step explanation:

The solutions are the point(s) of intersection.

By inspection of the graph we can see that line (blue) intersects the parabola (red) at 2 points.

Therefore, the system of equations has 2 solutions.

Answer:

91 used

65 new

Step-by-step explanation:

7 + 5 = 12

156/12 = 13

7(13) = 91

5(13) = 65

Answer:

0

Step-by-step explanation:

-4 + 0 + 4 = 0

Answer:

it would be 0

Step-by-step explanation:

since \(-4+4=0\)

then you would just need a 0

Answer:

9 hr * 60 min/hr = 540 min. 540 min * 60 sec/min = 32,400 sec. Use the method described by panic mode: round the number down until there is only one non-zero digit left. Here, 32,400 rounds down to 30,000. Now count the number of zeroes; the result is the order of magnitude: 4. (You see this in scientific notation also: 30,000 = 3 × 10^4.)

Answer:

M and O are similar but not congruent

Step-by-step explanation:

Answer: $191.67

Step-by-step explanation:

When paying back mortgages, the monthly payment has two components: an interest payment component and a principal repayment component.

The interest payment component is based on the total amount of debt still to be paid at the time and the principal repayment component is the rest of the payment after the interest has been deducted.

This interest is in a yearly rate so should be combined to a monthly rate as the payments are monthly:

= 5% / 12

= 5/12%

Interest = Mortgage remaining * interest rate

= 46,000 *  5/12%

= $191.67

1) The event is considered as rare.

2) It is called a rare event event because the probability is less than 5% and is well below threshold.

1) The probability of winning the grand prize is 0.005, which means there is a 0.5% chance of winning the prize.

Since this probability is low, Michele winning the grand prize is considered a rare event.

The term "rare event" is often used to describe an event with a low probability of occurrence.

A rare event typically has a probability of less than 5%, and in this case, the probability is well below that threshold. A probability of less than 0.05 is generally considered a rare event.

The fact that Michele won the grand prize means that she defied the odds, which makes the event rare.

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Answer:

f=2 and f=11/8

Step-by-step explanation:

Let's solve your equation step-by-step.

f(−4)=−8

Step 1: Simplify both sides of the equation.

−4f=−8

Step 2: Divide both sides by -4.

−4f

−4

=

−8

−4

f=2

Let's solve your equation step-by-step.

f(−8)=−11

Step 1: Simplify both sides of the equation.

−8f=−11

Step 2: Divide both sides by -8.

−8f

−8

=−11/−8

f=11/8

The simplified form of the expression 3x√xy + 4x√xy is 7x√xy.

The simplified form of the expression 3x√xy + 4x√xy can be found by combining like terms.

Step 1: Combine the terms with the same variable and exponent. In this case, both terms have the variable xy raised to the power of 1/2 (which is the same as the square root of xy).

Step 2: Add the coefficients of the like terms. The coefficients in this case are 3x and 4x.

Step 3: The simplified form of the expression is obtained by combining the coefficients and keeping the variable and exponent the same. Therefore, the simplified form of 3x√xy + 4x√xy is (3x + 4x)√xy.

Step 4: Simplify the expression further if possible. In this case, we can combine the coefficients to get 7x. So, the simplified form is 7x√xy.

Conclusion:
The simplified form of the expression 3x√xy + 4x√xy is 7x√xy.

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Answer:

holi , cómo estás espero que bien bueno déjame te digo que está facil soy de México pero voy a clases de inglés y ya me la hicieron esa pregunta y es la D hojala te ayude mucho

Answer:35

Step-by-step explanation:

The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.

So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”